Binary data

Mathematics

Politics

Algorithm

Statistics

Epistemology

Linear model

Philosophy

Political science

Econometrics

Programming language

Representation (politics)

Computer science

Simple (philosophy)

Interpretation (philosophy)

Log-linear model

Binary number

Arithmetic

Royal Society Open Science

The analysis of binary response data commonly uses models linear in the logistic transform of probabilities. This paper considers some of the advantages and disadvantages of simple least-squares estimates based on a linear representation of the probabilities themselves, this in particular sometimes allowing a more direct empirical interpretation of underlying parameters. A sociological study is used in illustration.

On the linear in probability model for binary data